TSTP Solution File: GEO579+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GEO579+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n032.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Sun May  5 05:12:18 EDT 2024

% Result   : Theorem 0.50s 0.70s
% Output   : Refutation 0.50s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   31 (  19 unt;   0 def)
%            Number of atoms       :   87 (   0 equ)
%            Maximal formula atoms :   10 (   2 avg)
%            Number of connectives :   71 (  15   ~;   8   |;  43   &)
%                                         (   0 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   18 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-8 aty)
%            Number of functors    :    7 (   7 usr;   7 con; 0-0 aty)
%            Number of variables   :   60 (  46   !;  14   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1811,plain,
    $false,
    inference(subsumption_resolution,[],[f1803,f1419]) ).

fof(f1419,plain,
    ~ coll(sK4,sK4,sK6),
    inference(unit_resulting_resolution,[],[f312,f858,f251]) ).

fof(f251,plain,
    ! [X2,X3,X0,X1] :
      ( ~ coll(X0,X1,X3)
      | ~ coll(X0,X1,X2)
      | coll(X2,X3,X0) ),
    inference(cnf_transformation,[],[f161]) ).

fof(f161,plain,
    ! [X0,X1,X2,X3] :
      ( coll(X2,X3,X0)
      | ~ coll(X0,X1,X3)
      | ~ coll(X0,X1,X2) ),
    inference(flattening,[],[f160]) ).

fof(f160,plain,
    ! [X0,X1,X2,X3] :
      ( coll(X2,X3,X0)
      | ~ coll(X0,X1,X3)
      | ~ coll(X0,X1,X2) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f3,axiom,
    ! [X0,X1,X2,X3] :
      ( ( coll(X0,X1,X3)
        & coll(X0,X1,X2) )
     => coll(X2,X3,X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.phHjVINP6v/Vampire---4.8_9768',ruleD3) ).

fof(f858,plain,
    coll(sK4,sK4,sK5),
    inference(unit_resulting_resolution,[],[f492,f492,f251]) ).

fof(f492,plain,
    coll(sK5,sK2,sK4),
    inference(unit_resulting_resolution,[],[f353,f253]) ).

fof(f253,plain,
    ! [X2,X0,X1] :
      ( ~ coll(X0,X1,X2)
      | coll(X0,X2,X1) ),
    inference(cnf_transformation,[],[f163]) ).

fof(f163,plain,
    ! [X0,X1,X2] :
      ( coll(X0,X2,X1)
      | ~ coll(X0,X1,X2) ),
    inference(ennf_transformation,[],[f1]) ).

fof(f1,axiom,
    ! [X0,X1,X2] :
      ( coll(X0,X1,X2)
     => coll(X0,X2,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.phHjVINP6v/Vampire---4.8_9768',ruleD1) ).

fof(f353,plain,
    coll(sK5,sK4,sK2),
    inference(unit_resulting_resolution,[],[f292,f299,f251]) ).

fof(f299,plain,
    coll(sK2,sK2,sK5),
    inference(unit_resulting_resolution,[],[f221,f221,f251]) ).

fof(f221,plain,
    coll(sK5,sK1,sK2),
    inference(cnf_transformation,[],[f131]) ).

fof(f131,plain,
    ? [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ coll(X6,X4,X5)
      & coll(X6,X0,X3)
      & perp(X6,X1,X0,X3)
      & coll(X5,X1,X2)
      & perp(X5,X3,X1,X2)
      & coll(X4,X0,X2)
      & perp(X4,X3,X0,X2)
      & eqangle(X3,X2,X2,X0,X3,X2,X2,X1)
      & eqangle(X3,X1,X1,X2,X3,X1,X1,X0)
      & eqangle(X3,X0,X0,X1,X3,X0,X0,X2) ),
    inference(flattening,[],[f130]) ).

fof(f130,plain,
    ? [X0,X1,X2,X3,X4,X5,X6] :
      ( ~ coll(X6,X4,X5)
      & coll(X6,X0,X3)
      & perp(X6,X1,X0,X3)
      & coll(X5,X1,X2)
      & perp(X5,X3,X1,X2)
      & coll(X4,X0,X2)
      & perp(X4,X3,X0,X2)
      & eqangle(X3,X2,X2,X0,X3,X2,X2,X1)
      & eqangle(X3,X1,X1,X2,X3,X1,X1,X0)
      & eqangle(X3,X0,X0,X1,X3,X0,X0,X2) ),
    inference(ennf_transformation,[],[f97]) ).

fof(f97,plain,
    ~ ! [X0,X1,X2,X3,X4,X5,X6] :
        ( ( coll(X6,X0,X3)
          & perp(X6,X1,X0,X3)
          & coll(X5,X1,X2)
          & perp(X5,X3,X1,X2)
          & coll(X4,X0,X2)
          & perp(X4,X3,X0,X2)
          & eqangle(X3,X2,X2,X0,X3,X2,X2,X1)
          & eqangle(X3,X1,X1,X2,X3,X1,X1,X0)
          & eqangle(X3,X0,X0,X1,X3,X0,X0,X2) )
       => coll(X6,X4,X5) ),
    inference(rectify,[],[f96]) ).

fof(f96,negated_conjecture,
    ~ ! [X0,X1,X2,X18,X17,X19,X15] :
        ( ( coll(X15,X0,X18)
          & perp(X15,X1,X0,X18)
          & coll(X19,X1,X2)
          & perp(X19,X18,X1,X2)
          & coll(X17,X0,X2)
          & perp(X17,X18,X0,X2)
          & eqangle(X18,X2,X2,X0,X18,X2,X2,X1)
          & eqangle(X18,X1,X1,X2,X18,X1,X1,X0)
          & eqangle(X18,X0,X0,X1,X18,X0,X0,X2) )
       => coll(X15,X17,X19) ),
    inference(negated_conjecture,[],[f95]) ).

fof(f95,conjecture,
    ! [X0,X1,X2,X18,X17,X19,X15] :
      ( ( coll(X15,X0,X18)
        & perp(X15,X1,X0,X18)
        & coll(X19,X1,X2)
        & perp(X19,X18,X1,X2)
        & coll(X17,X0,X2)
        & perp(X17,X18,X0,X2)
        & eqangle(X18,X2,X2,X0,X18,X2,X2,X1)
        & eqangle(X18,X1,X1,X2,X18,X1,X1,X0)
        & eqangle(X18,X0,X0,X1,X18,X0,X0,X2) )
     => coll(X15,X17,X19) ),
    file('/export/starexec/sandbox2/tmp/tmp.phHjVINP6v/Vampire---4.8_9768',exemplo6GDDFULL416041) ).

fof(f292,plain,
    coll(sK2,sK2,sK4),
    inference(unit_resulting_resolution,[],[f219,f219,f251]) ).

fof(f219,plain,
    coll(sK4,sK0,sK2),
    inference(cnf_transformation,[],[f131]) ).

fof(f312,plain,
    ~ coll(sK6,sK5,sK4),
    inference(unit_resulting_resolution,[],[f224,f253]) ).

fof(f224,plain,
    ~ coll(sK6,sK4,sK5),
    inference(cnf_transformation,[],[f131]) ).

fof(f1803,plain,
    coll(sK4,sK4,sK6),
    inference(unit_resulting_resolution,[],[f1108,f1108,f251]) ).

fof(f1108,plain,
    coll(sK6,sK0,sK4),
    inference(unit_resulting_resolution,[],[f641,f253]) ).

fof(f641,plain,
    coll(sK6,sK4,sK0),
    inference(unit_resulting_resolution,[],[f331,f391,f251]) ).

fof(f391,plain,
    coll(sK0,sK0,sK6),
    inference(unit_resulting_resolution,[],[f308,f308,f251]) ).

fof(f308,plain,
    coll(sK6,sK3,sK0),
    inference(unit_resulting_resolution,[],[f223,f253]) ).

fof(f223,plain,
    coll(sK6,sK0,sK3),
    inference(cnf_transformation,[],[f131]) ).

fof(f331,plain,
    coll(sK0,sK0,sK4),
    inference(unit_resulting_resolution,[],[f294,f294,f251]) ).

fof(f294,plain,
    coll(sK4,sK2,sK0),
    inference(unit_resulting_resolution,[],[f219,f253]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10  % Problem    : GEO579+1 : TPTP v8.1.2. Released v7.5.0.
% 0.02/0.11  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.11/0.30  % Computer : n032.cluster.edu
% 0.11/0.30  % Model    : x86_64 x86_64
% 0.11/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.30  % Memory   : 8042.1875MB
% 0.11/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.30  % CPULimit   : 300
% 0.11/0.30  % WCLimit    : 300
% 0.11/0.31  % DateTime   : Fri May  3 21:59:52 EDT 2024
% 0.11/0.31  % CPUTime    : 
% 0.11/0.31  This is a FOF_THM_RFO_SEQ problem
% 0.11/0.31  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.phHjVINP6v/Vampire---4.8_9768
% 0.50/0.66  % (9876)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.50/0.66  % (9879)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.50/0.66  % (9880)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.50/0.66  % (9882)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.50/0.66  % (9881)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.50/0.66  % (9878)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.50/0.66  % (9883)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.50/0.66  % (9877)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.50/0.67  % (9876)Instruction limit reached!
% 0.50/0.67  % (9876)------------------------------
% 0.50/0.67  % (9876)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.50/0.67  % (9876)Termination reason: Unknown
% 0.50/0.67  % (9876)Termination phase: Saturation
% 0.50/0.67  
% 0.50/0.67  % (9876)Memory used [KB]: 1356
% 0.50/0.67  % (9876)Time elapsed: 0.011 s
% 0.50/0.67  % (9876)Instructions burned: 34 (million)
% 0.50/0.67  % (9876)------------------------------
% 0.50/0.67  % (9876)------------------------------
% 0.50/0.67  % (9884)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2996ds/55Mi)
% 0.50/0.67  % (9879)Instruction limit reached!
% 0.50/0.67  % (9879)------------------------------
% 0.50/0.67  % (9879)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.50/0.67  % (9880)Instruction limit reached!
% 0.50/0.67  % (9880)------------------------------
% 0.50/0.67  % (9880)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.50/0.67  % (9880)Termination reason: Unknown
% 0.50/0.67  % (9880)Termination phase: Saturation
% 0.50/0.67  
% 0.50/0.67  % (9880)Memory used [KB]: 1664
% 0.50/0.67  % (9880)Time elapsed: 0.017 s
% 0.50/0.67  % (9880)Instructions burned: 35 (million)
% 0.50/0.67  % (9880)------------------------------
% 0.50/0.67  % (9880)------------------------------
% 0.50/0.67  % (9879)Termination reason: Unknown
% 0.50/0.67  % (9879)Termination phase: Saturation
% 0.50/0.67  
% 0.50/0.67  % (9879)Memory used [KB]: 1397
% 0.50/0.67  % (9879)Time elapsed: 0.017 s
% 0.50/0.67  % (9879)Instructions burned: 34 (million)
% 0.50/0.67  % (9879)------------------------------
% 0.50/0.67  % (9879)------------------------------
% 0.50/0.68  % (9884)Refutation not found, incomplete strategy% (9884)------------------------------
% 0.50/0.68  % (9884)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.50/0.68  % (9884)Termination reason: Refutation not found, incomplete strategy
% 0.50/0.68  
% 0.50/0.68  % (9884)Memory used [KB]: 1170
% 0.50/0.68  % (9884)Time elapsed: 0.006 s
% 0.50/0.68  % (9884)Instructions burned: 18 (million)
% 0.50/0.68  % (9884)------------------------------
% 0.50/0.68  % (9884)------------------------------
% 0.50/0.68  % (9885)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2996ds/50Mi)
% 0.50/0.68  % (9886)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/208Mi)
% 0.50/0.68  % (9887)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2996ds/52Mi)
% 0.50/0.68  % (9881)Instruction limit reached!
% 0.50/0.68  % (9881)------------------------------
% 0.50/0.68  % (9881)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.50/0.68  % (9881)Termination reason: Unknown
% 0.50/0.68  % (9881)Termination phase: Saturation
% 0.50/0.68  
% 0.50/0.68  % (9881)Memory used [KB]: 1346
% 0.50/0.68  % (9881)Time elapsed: 0.022 s
% 0.50/0.68  % (9881)Instructions burned: 45 (million)
% 0.50/0.68  % (9881)------------------------------
% 0.50/0.68  % (9881)------------------------------
% 0.50/0.68  % (9877)Instruction limit reached!
% 0.50/0.68  % (9877)------------------------------
% 0.50/0.68  % (9877)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.50/0.68  % (9877)Termination reason: Unknown
% 0.50/0.68  % (9877)Termination phase: Saturation
% 0.50/0.68  
% 0.50/0.68  % (9877)Memory used [KB]: 1404
% 0.50/0.68  % (9877)Time elapsed: 0.023 s
% 0.50/0.68  % (9877)Instructions burned: 53 (million)
% 0.50/0.68  % (9877)------------------------------
% 0.50/0.68  % (9877)------------------------------
% 0.50/0.68  % (9888)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2996ds/518Mi)
% 0.50/0.68  % (9889)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2996ds/42Mi)
% 0.50/0.69  % (9883)Instruction limit reached!
% 0.50/0.69  % (9883)------------------------------
% 0.50/0.69  % (9883)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.50/0.69  % (9883)Termination reason: Unknown
% 0.50/0.69  % (9883)Termination phase: Saturation
% 0.50/0.69  
% 0.50/0.69  % (9883)Memory used [KB]: 1606
% 0.50/0.69  % (9883)Time elapsed: 0.028 s
% 0.50/0.69  % (9883)Instructions burned: 57 (million)
% 0.50/0.69  % (9883)------------------------------
% 0.50/0.69  % (9883)------------------------------
% 0.50/0.69  % (9890)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on Vampire---4 for (2996ds/243Mi)
% 0.50/0.69  % (9887)Instruction limit reached!
% 0.50/0.69  % (9887)------------------------------
% 0.50/0.69  % (9887)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.50/0.69  % (9887)Termination reason: Unknown
% 0.50/0.69  % (9887)Termination phase: Saturation
% 0.50/0.69  
% 0.50/0.69  % (9887)Memory used [KB]: 1447
% 0.50/0.69  % (9887)Time elapsed: 0.017 s
% 0.50/0.69  % (9887)Instructions burned: 54 (million)
% 0.50/0.69  % (9887)------------------------------
% 0.50/0.69  % (9887)------------------------------
% 0.50/0.70  % (9878)Instruction limit reached!
% 0.50/0.70  % (9878)------------------------------
% 0.50/0.70  % (9878)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.50/0.70  % (9878)Termination reason: Unknown
% 0.50/0.70  % (9878)Termination phase: Saturation
% 0.50/0.70  
% 0.50/0.70  % (9878)Memory used [KB]: 1394
% 0.50/0.70  % (9878)Time elapsed: 0.039 s
% 0.50/0.70  % (9878)Instructions burned: 79 (million)
% 0.50/0.70  % (9878)------------------------------
% 0.50/0.70  % (9878)------------------------------
% 0.50/0.70  % (9882)First to succeed.
% 0.50/0.70  % (9882)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-9875"
% 0.50/0.70  % (9891)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on Vampire---4 for (2996ds/117Mi)
% 0.50/0.70  % (9882)Refutation found. Thanks to Tanya!
% 0.50/0.70  % SZS status Theorem for Vampire---4
% 0.50/0.70  % SZS output start Proof for Vampire---4
% See solution above
% 0.50/0.70  % (9882)------------------------------
% 0.50/0.70  % (9882)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.50/0.70  % (9882)Termination reason: Refutation
% 0.50/0.70  
% 0.50/0.70  % (9882)Memory used [KB]: 1855
% 0.50/0.70  % (9882)Time elapsed: 0.040 s
% 0.50/0.70  % (9882)Instructions burned: 82 (million)
% 0.50/0.70  % (9875)Success in time 0.382 s
% 0.50/0.70  % Vampire---4.8 exiting
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